112347565440 has 1024 divisors, whose sum is σ = 446703206400. Its totient is φ = 23657840640.

The previous prime is 112347565427. The next prime is 112347565441. The reversal of 112347565440 is 44565743211.

It is a junction number, because it is equal to n+sod(n) for n = 112347565392 and 112347565401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112347565441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 293335489 + ... + 293335871.

It is an arithmetic number, because the mean of its divisors is an integer number (436233600).

Almost surely, 2^112347565440 is an apocalyptic number.

112347565440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112347565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223351603200).

112347565440 is an abundant number, since it is smaller than the sum of its proper divisors (334355640960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112347565440 is a wasteful number, since it uses less digits than its factorization.

112347565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 112347565440 in words is "one hundred twelve billion, three hundred forty-seven million, five hundred sixty-five thousand, four hundred forty".